Finished:Math Practice Questions 3/05/2025

Here are 10 algebra practice questions for NCEA Level 1, formatted as requested:

Question 1

Solve for ( x ):
( 3x + 7 = 22 )

Steps:

move seven over

3x= 15

x=5

Answer: x = 5

Question 2

Expand and simplify:
( 2(x + 4) + 3(2x - 5) )

Steps:

2x+8+6x-15

8 x - 7

Answer: 8 x - 7

Question 3

Factorize completely:
( 6x^2 - 15x )

Steps:

3x(2x-5)

Answer: 3x(2x-5)

Question 4

Solve the simultaneous equations:

2x + y = 10
x - y = 2

Steps:

based on equation 2

-y=2-x

y=-2+x

putting this into equation 1

2x-2+x=10

3x-2=10

3x=12

x=4

Answer: x=4 and y=2

Question 5

Simplify the expression:
4x^2 + 12x + 9

Steps:

(2x+3)(2x+3)

(2x+3)^2

Answer: (2x+3)^2

Question 6

Solve for ( x ):
3x - 1 = 5

Steps:

3x = 6

x=2

Answer: x=2

Question 7

Solve the inequality:
( 5x - 3 < 12 )

Steps:

5x<15

x<3

Answer: x < 3

Question 8

Find the value of ( y ) when ( x = 4 ) in the equation:
( y = 2x^2 - 3x + 1 )

Steps:

Changing x into 4

y = 2*4^2 -3 *4+1

y=32-12+1

y=21

Answer: y = 21

Question 9

Solve the simultaneous equations:

3x + 2y = 10
4x - y = 6

Steps:

based of equation 2

-y = 6 - 4x

y = -6 + 4x

y = 4x - 6

putting this into equation 1

3x + 8x - 12 = 10

11x-12=10

11x = 22

x=2

Answer: x = 2 and y = 2

Question 10

Simplify the expression:
5/x +2/(3x)

Steps:

15/(3x) +2/(3x)

17/(3x)

Answer: 17 / (3x)

These questions cover key algebraic concepts for NCEA Level 1, including solving equations, expanding, factorizing, inequalities, and simultaneous equations. Let me know if you'd like any modifications! by deepseek-chat